IP AMaths Notes (Upper Sec, Year 3-4): 16) Applications of Differentiation

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08 Nov 2025, 00:00 Z

Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 16) Applications of Differentiation cover?
A: Tangents, normals, stationary points, and related rates in IP AMaths.

Apply derivatives to describe gradient, optimise functions, and connect rates.

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Common tasks

Tangent gradient at $x = a$ : evaluate $y'$ at $a$ .
Normal gradient: $m_\text{normal} = -\dfrac{1}{m_\text{tangent}}$

IP AMaths Notes (Upper Sec, Year 3-4): 16) Applications of Differentiation

Common tasks

Worked example 1 - Tangent and normal

Worked example 2 - Optimisation

Worked example 3 - Classifying stationary points

Practice Quiz

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